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Finding the Third Proportional to 338,868 and 498,446

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Solution

The third proportional to 338,868 and 498,446 is: 733,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,868 : 498,446 = 498,446 : x
  2. Step 2: Convert to fraction form
    338,868/498,446 = 498,446/x
  3. Step 3: Cross multiply
    338,868x = 498,446 × 498,446
  4. Step 4: Simplify right side
    338,868x = 248,448,414,916
  5. Step 5: Solve for x
    x = 248,448,414,916/338,868
  6. Step 6: Final answer
    x = 733,171.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.